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AbstractLinAlgPack: C++ Interfaces For Vectors, Matrices And Related Linear Algebra Objects
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AbstractLinAlgPack: C++ Interfaces For Vectors, Matrices And Related Linear Algebra Objects
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Concrete subclass for a serial symmetric diagonal matrix with many zeros on the diagonal. More...
#include <AbstractLinAlgPack_MatrixSymDiagSparseStd.hpp>
Constructors/initializes | |
| MatrixSymDiagSparseStd () | |
| Construct uninitialized. More... | |
| MatrixSymDiagSparseStd (const SpVectorSlice &diag) | |
| Construct the diagonal. More... | |
| void | initialize (const SpVectorSlice &diag) |
| Reinitialize the diagonal. More... | |
Overridden from MatrixOp | |
| MatrixOp & | operator= (const MatrixOp &m) |
| const SpVectorSlice | diag () const |
Additional Inherited Members | |
 Public Types inherited from AbstractLinAlgPack::MatrixOp | |
| enum | EMatNormType { MAT_NORM_INF, MAT_NORM_2, MAT_NORM_1, MAT_NORM_FORB } |
| Type of matrix norm. More... | |
| Public Types inherited from AbstractLinAlgPack::MatrixSymOp | |
| enum | EMatRhsPlaceHolder |
| Public Types inherited from AbstractLinAlgPack::MatrixConvertToSparse | |
| enum | EExtractRegion { EXTRACT_FULL_MATRIX, EXTRACT_UPPER_TRIANGULAR, EXTRACT_LOWER_TRIANGULAR } |
| enum | EElementUniqueness { ELEMENTS_FORCE_UNIQUE, ELEMENTS_ALLOW_DUPLICATES_SUM } |
| Public Member Functions inherited from AbstractLinAlgPack::MatrixSymDiagSparse | |
| STANDARD_MEMBER_COMPOSITION_MEMBERS (size_type, num_updates_at_once) | |
| <<std member="" comp>="">> members for how many updates to compute at once in the operation M_MtMtM(....). More... | |
| MatrixSymDiagSparse () | |
| The default value of num_updates_at_once == 0 is set to allow this class to determine the appropriate size internally. More... | |
| size_type | rows () const |
| std::ostream & | output (std::ostream &out) const |
| void | Vp_StMtV (DVectorSlice *vs_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const DVectorSlice &vs_rhs2, value_type beta) const |
| void | Mp_StMtMtM (DMatrixSliceSym *sym_lhs, value_type alpha, EMatRhsPlaceHolder dummy_place_holder, const MatrixOpSerial &mwo_rhs, BLAS_Cpp::Transp mwo_rhs_trans, value_type beta) const |
| Computes the dense symmetric matrix B += a*op(A')*M*op(A). More... | |
| index_type | num_nonzeros (EExtractRegion extract_region, EElementUniqueness element_uniqueness) const |
| void | coor_extract_nonzeros (EExtractRegion extract_region, EElementUniqueness element_uniqueness, const index_type len_Aval, value_type Aval[], const index_type len_Aij, index_type Arow[], index_type Acol[], const index_type row_offset, const index_type col_offset) const |
| Public Member Functions inherited from AbstractLinAlgPack::MatrixSymOpSerial | |
| virtual void | Mp_StPtMtP (DMatrixSliceSym *sym_lhs, value_type alpha, EMatRhsPlaceHolder dummy_place_holder, const GenPermMatrixSlice &gpms_rhs, BLAS_Cpp::Transp gpms_rhs_trans, value_type beta) const |
| sym_lhs = alpha * op(gpms_rhs') * M * op(gpms_rhs) + beta * sym_lhs. More... | |
| const VectorSpace & | space_rows () const |
Must be overridden to call MatrixOpSerial::space_rows() More... | |
| void | Mp_StPtMtP (MatrixSymOp *symwo_lhs, value_type alpha, EMatRhsPlaceHolder dummy_place_holder, const GenPermMatrixSlice &gpms_rhs, BLAS_Cpp::Transp gpms_rhs_trans, value_type beta) const |
| symwo_lhs = alpha * op(gpms_rhs') * M * op(gpms_rhs) + beta * sym_lhs. More... | |
| void | Mp_StMtMtM (MatrixSymOp *symwo_lhs, value_type alpha, EMatRhsPlaceHolder dummy_place_holder, const MatrixOp &mwo_rhs, BLAS_Cpp::Transp mwo_rhs_trans, value_type beta) const |
| symwo_lhs = alpha * op(mwo_rhs') * M * op(mwo_rhs). More... | |
| Public Member Functions inherited from AbstractLinAlgPack::MatrixOpSerial | |
| virtual void | Mp_StM (DMatrixSlice *gms_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs) const |
| gms_lhs += alpha * op(M_rhs) (BLAS xAXPY) More... | |
| virtual void | Mp_StMtP (DMatrixSlice *gms_lhs, value_type alpha, BLAS_Cpp::Transp M_trans, const GenPermMatrixSlice &P_rhs, BLAS_Cpp::Transp P_rhs_trans) const |
| gms_lhs += alpha * op(M_rhs) * op(P_rhs) More... | |
| virtual void | Mp_StPtM (DMatrixSlice *gms_lhs, value_type alpha, const GenPermMatrixSlice &P_rhs, BLAS_Cpp::Transp P_rhs_trans, BLAS_Cpp::Transp M_trans) const |
| gms_lhs += alpha * op(P) * op(M_rhs) More... | |
| virtual void | Mp_StPtMtP (DMatrixSlice *gms_lhs, value_type alpha, const GenPermMatrixSlice &P_rhs1, BLAS_Cpp::Transp P_rhs1_trans, BLAS_Cpp::Transp M_trans, const GenPermMatrixSlice &P_rhs2, BLAS_Cpp::Transp P_rhs2_trans) const |
| gms_lhs += alpha * op(P_rhs1) * op(M_rhs) * op(P_rhs2) More... | |
| virtual void | Vp_StMtV (DVectorSlice *vs_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const SpVectorSlice &sv_rhs2, value_type beta) const |
| vs_lhs = alpha * op(M_rhs1) * sv_rhs2 + beta * vs_lhs (BLAS xGEMV) More... | |
| virtual void | Vp_StPtMtV (DVectorSlice *vs_lhs, value_type alpha, const GenPermMatrixSlice &P_rhs1, BLAS_Cpp::Transp P_rhs1_trans, BLAS_Cpp::Transp M_rhs2_trans, const DVectorSlice &vs_rhs3, value_type beta) const |
| vs_lhs = alpha * op(P_rhs1) * op(M_rhs2) * vs_rhs3 + beta * vs_rhs More... | |
| virtual void | Vp_StPtMtV (DVectorSlice *vs_lhs, value_type alpha, const GenPermMatrixSlice &P_rhs1, BLAS_Cpp::Transp P_rhs1_trans, BLAS_Cpp::Transp M_rhs2_trans, const SpVectorSlice &sv_rhs3, value_type beta) const |
| vs_lhs = alpha * op(P_rhs1) * op(M_rhs2) * sv_rhs3 + beta * vs_rhs More... | |
| virtual value_type | transVtMtV (const DVectorSlice &vs_rhs1, BLAS_Cpp::Transp trans_rhs2, const DVectorSlice &vs_rhs3) const |
| result = vs_rhs1' * op(M_rhs2) * vs_rhs3 More... | |
| virtual void | syr2k (BLAS_Cpp::Transp M_trans, value_type alpha, const GenPermMatrixSlice &P1, BLAS_Cpp::Transp P1_trans, const GenPermMatrixSlice &P2, BLAS_Cpp::Transp P2_trans, value_type beta, DMatrixSliceSym *sym_lhs) const |
| Perform a specialized rank-2k update of a dense symmetric matrix of the form: More... | |
| virtual void | Mp_StMtM (DMatrixSlice *gms_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const DMatrixSlice &gms_rhs2, BLAS_Cpp::Transp trans_rhs2, value_type beta) const |
| gms_lhs = alpha * op(M_rhs1) * op(gms_rhs2) + beta * gms_lhs (right) (xGEMM) More... | |
| virtual void | Mp_StMtM (DMatrixSlice *gms_lhs, value_type alpha, const DMatrixSlice &gms_rhs1, BLAS_Cpp::Transp trans_rhs1, BLAS_Cpp::Transp trans_rhs2, value_type beta) const |
| gms_lhs = alpha * op(gms_rhs1) * op(M_rhs2) + beta * gms_lhs (left) (xGEMM) More... | |
| virtual void | Mp_StMtM (DMatrixSlice *gms_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const MatrixOpSerial &mwo_rhs2, BLAS_Cpp::Transp trans_rhs2, value_type beta) const |
| gms_lhs = alpha * op(M_rhs1) * op(mwo_rhs2) + beta * gms_lhs (right) (xGEMM) More... | |
| virtual void | Mp_StMtM (DMatrixSlice *gms_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const DMatrixSliceSym &sym_rhs2, BLAS_Cpp::Transp trans_rhs2, value_type beta) const |
| gms_lhs = alpha * op(M_rhs1) * op(sym_rhs2) + beta * gms_lhs (right) (xSYMM) More... | |
| virtual void | Mp_StMtM (DMatrixSlice *gms_lhs, value_type alpha, const DMatrixSliceSym &sym_rhs1, BLAS_Cpp::Transp trans_rhs1, BLAS_Cpp::Transp trans_rhs2, value_type beta) const |
| gms_lhs = alpha * op(sym_rhs1) * op(M_rhs2) + beta * gms_lhs (left) (xSYMM) More... | |
| virtual void | Mp_StMtM (DMatrixSlice *gms_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const DMatrixSliceTri &tri_rhs2, BLAS_Cpp::Transp trans_rhs2, value_type beta) const |
| gms_lhs = alpha * op(M_rhs1) * op(tri_rhs2) + beta * gms_lhs (right) (xTRMM) More... | |
| virtual void | Mp_StMtM (DMatrixSlice *gms_lhs, value_type alpha, const DMatrixSliceTri &tri_rhs1, BLAS_Cpp::Transp trans_rhs1, BLAS_Cpp::Transp trans_rhs2, value_type beta) const |
| gms_lhs = alpha * op(tri_rhs1) * op(M_rhs2) + beta * gms_lhs (left) (xTRMM) More... | |
| virtual void | syrk (BLAS_Cpp::Transp M_trans, value_type alpha, value_type beta, DMatrixSliceSym *sym_lhs) const |
| Perform a rank-k update of a dense symmetric matrix of the form: More... | |
| const VectorSpace & | space_cols () const |
| bool | Mp_StM (MatrixOp *mwo_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs) const |
| bool | Mp_StMtP (MatrixOp *mwo_lhs, value_type alpha, BLAS_Cpp::Transp M_trans, const GenPermMatrixSlice &P_rhs, BLAS_Cpp::Transp P_rhs_trans) const |
| bool | Mp_StPtM (MatrixOp *mwo_lhs, value_type alpha, const GenPermMatrixSlice &P_rhs, BLAS_Cpp::Transp P_rhs_trans, BLAS_Cpp::Transp M_trans) const |
| bool | Mp_StPtMtP (MatrixOp *mwo_lhs, value_type alpha, const GenPermMatrixSlice &P_rhs1, BLAS_Cpp::Transp P_rhs1_trans, BLAS_Cpp::Transp M_trans, const GenPermMatrixSlice &P_rhs2, BLAS_Cpp::Transp P_rhs2_trans) const |
| void | Vp_StMtV (VectorMutable *v_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const Vector &v_rhs2, value_type beta) const |
| void | Vp_StMtV (VectorMutable *v_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const SpVectorSlice &sv_rhs2, value_type beta) const |
| void | Vp_StPtMtV (VectorMutable *v_lhs, value_type alpha, const GenPermMatrixSlice &P_rhs1, BLAS_Cpp::Transp P_rhs1_trans, BLAS_Cpp::Transp M_rhs2_trans, const Vector &v_rhs3, value_type beta) const |
| void | Vp_StPtMtV (VectorMutable *v_lhs, value_type alpha, const GenPermMatrixSlice &P_rhs1, BLAS_Cpp::Transp P_rhs1_trans, BLAS_Cpp::Transp M_rhs2_trans, const SpVectorSlice &sv_rhs3, value_type beta) const |
| value_type | transVtMtV (const Vector &v_rhs1, BLAS_Cpp::Transp trans_rhs2, const Vector &v_rhs3) const |
| value_type | transVtMtV (const SpVectorSlice &sv_rhs1, BLAS_Cpp::Transp trans_rhs2, const SpVectorSlice &sv_rhs3) const |
| void | syr2k (BLAS_Cpp::Transp M_trans, value_type alpha, const GenPermMatrixSlice &P1, BLAS_Cpp::Transp P1_trans, const GenPermMatrixSlice &P2, BLAS_Cpp::Transp P2_trans, value_type beta, MatrixSymOp *symwo_lhs) const |
| bool | Mp_StMtM (MatrixOp *mwo_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const MatrixOp &mwo_rhs2, BLAS_Cpp::Transp trans_rhs2, value_type beta) const |
| bool | syrk (BLAS_Cpp::Transp M_trans, value_type alpha, value_type beta, MatrixSymOp *sym_lhs) const |
| Public Member Functions inherited from AbstractLinAlgPack::MatrixOp | |
| virtual void | zero_out () |
| M_lhs = 0 : Zero out the matrix. More... | |
| virtual void | Mt_S (value_type alpha) |
| M_lhs *= alpha : Multiply a matrix by a scalar. More... | |
| const MatNorm | calc_norm (EMatNormType requested_norm_type=MAT_NORM_1, bool allow_replacement=false) const |
| Compute a norm of this matrix. More... | |
| virtual mat_ptr_t | sub_view (const Range1D &row_rng, const Range1D &col_rng) const |
| Create a transient constant sub-matrix view of this matrix (if supported). More... | |
| mat_ptr_t | sub_view (const index_type &rl, const index_type &ru, const index_type &cl, const index_type &cu) const |
Inlined implementation calls this->sub_view(Range1D(rl,ru),Range1D(cl,cu)). More... | |
| virtual mat_ptr_t | perm_view (const Permutation *P_row, const index_type row_part[], int num_row_part, const Permutation *P_col, const index_type col_part[], int num_col_part) const |
Create a permuted view: M_perm = P_row' * M * P_col. More... | |
| virtual mat_ptr_t | perm_view_update (const Permutation *P_row, const index_type row_part[], int num_row_part, const Permutation *P_col, const index_type col_part[], int num_col_part, const mat_ptr_t &perm_view) const |
Reinitialize a permuted view: M_perm = P_row' * M * P_col. More... | |
| Public Member Functions inherited from AbstractLinAlgPack::MatrixBase | |
| virtual | ~MatrixBase () |
| Virtual destructor. More... | |
| virtual size_type | nz () const |
| Return the number of nonzero elements in the matrix. More... | |
| Public Member Functions inherited from AbstractLinAlgPack::MatrixSymOp | |
| virtual MatrixSymOp & | operator= (const MatrixSymOp &M) |
| Calls operator=(MatrixOp&) More... | |
| virtual mat_mswo_mut_ptr_t | clone_mswo () |
| Clone the non-const matrix object (if supported). More... | |
| virtual mat_mswo_ptr_t | clone_mswo () const |
| Clone the const matrix object (if supported). More... | |
| size_type | cols () const |
Returns this->rows() More... | |
| mat_mut_ptr_t | clone () |
Returns this->clone_mswo(). More... | |
| mat_ptr_t | clone () const |
Returns this->clone_mswo(). More... | |
| Protected Member Functions inherited from AbstractLinAlgPack::MatrixOp | |
| virtual bool | Mp_StM (value_type alpha, const MatrixOp &M_rhs, BLAS_Cpp::Transp trans_rhs) |
| M_lhs += alpha * op(mwo_rhs) (BLAS xAXPY). More... | |
| virtual bool | Mp_StMtP (value_type alpha, const MatrixOp &mwo_rhs, BLAS_Cpp::Transp M_trans, const GenPermMatrixSlice &P_rhs, BLAS_Cpp::Transp P_rhs_trans) |
| M_lhs += alpha * op(mwo_rhs) * op(P_rhs). More... | |
| virtual bool | Mp_StPtM (value_type alpha, const GenPermMatrixSlice &P_rhs, BLAS_Cpp::Transp P_rhs_trans, const MatrixOp &mwo_rhs, BLAS_Cpp::Transp M_trans) |
| M_lhs += alpha * op(P_rhs) * op(mwo_rhs). More... | |
| virtual bool | Mp_StPtMtP (value_type alpha, const GenPermMatrixSlice &P_rhs1, BLAS_Cpp::Transp P_rhs1_trans, const MatrixOp &mwo_rhs, BLAS_Cpp::Transp M_trans, const GenPermMatrixSlice &P_rhs2, BLAS_Cpp::Transp P_rhs2_trans) |
| M_lhs += alpha * op(P_rhs1) * op(mwo_rhs) * op(P_rhs2). More... | |
| virtual bool | Mp_StMtM (MatrixOp *mwo_lhs, value_type alpha, const MatrixOp &mwo_rhs1, BLAS_Cpp::Transp trans_rhs1, BLAS_Cpp::Transp trans_rhs2, value_type beta) const |
| mwo_lhs = alpha * op(mwo_rhs1) * op(M_rhs2) + beta * mwo_lhs (right) (xGEMM) More... | |
| virtual bool | Mp_StMtM (value_type alpha, const MatrixOp &mwo_rhs1, BLAS_Cpp::Transp trans_rhs1, const MatrixOp &mwo_rhs2, BLAS_Cpp::Transp trans_rhs2, value_type beta) |
| M_lhs = alpha * op(mwo_rhs1) * op(mwo_rhs2) + beta * mwo_lhs (left) (xGEMM) More... | |
| virtual bool | syrk (const MatrixOp &mwo_rhs, BLAS_Cpp::Transp M_trans, value_type alpha, value_type beta) |
| Perform a rank-k update of a symmetric matrix of the form: More... | |
| Protected Member Functions inherited from AbstractLinAlgPack::MatrixSymOp | |
Concrete subclass for a serial symmetric diagonal matrix with many zeros on the diagonal.
The underlying diagonal vector is sorted and determines the dimensions of the matrix.
The default constructor, copy constructor are allowed.
Definition at line 57 of file AbstractLinAlgPack_MatrixSymDiagSparseStd.hpp.
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inline |
Construct uninitialized.
Definition at line 64 of file AbstractLinAlgPack_MatrixSymDiagSparseStd.hpp.
| AbstractLinAlgPack::MatrixSymDiagSparseStd::MatrixSymDiagSparseStd | ( | const SpVectorSlice & | diag | ) |
Construct the diagonal.
Definition at line 50 of file AbstractLinAlgPack_MatrixSymDiagSparseStd.cpp.
| void AbstractLinAlgPack::MatrixSymDiagSparseStd::initialize | ( | const SpVectorSlice & | diag | ) |
Reinitialize the diagonal.
Definition at line 54 of file AbstractLinAlgPack_MatrixSymDiagSparseStd.cpp.
Reimplemented from AbstractLinAlgPack::MatrixOp.
Definition at line 61 of file AbstractLinAlgPack_MatrixSymDiagSparseStd.cpp.
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virtual |
Overridden from MatrixDiagonalSparse
Implements AbstractLinAlgPack::MatrixSymDiagSparse.
Definition at line 82 of file AbstractLinAlgPack_MatrixSymDiagSparseStd.cpp.
1.8.6